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Finding the Third Proportional to 3,634,447,898 and 7,905,685,684

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Solution

The third proportional to 3,634,447,898 and 7,905,685,684 is: 17,196,522,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,447,898 : 7,905,685,684 = 7,905,685,684 : x
  2. Step 2: Convert to fraction form
    3,634,447,898/7,905,685,684 = 7,905,685,684/x
  3. Step 3: Cross multiply
    3,634,447,898x = 7,905,685,684 × 7,905,685,684
  4. Step 4: Simplify right side
    3,634,447,898x = 62,499,866,134,202,548,224
  5. Step 5: Solve for x
    x = 62,499,866,134,202,548,224/3,634,447,898
  6. Step 6: Final answer
    x = 17,196,522,797.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.